Determine the equation of the tangent line to the curve f(x) = sin4x – cos²x at x = Show all your steps. Use exact values.

Q: S- -dx xV 64 + 9x

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Q: 1. Which of the following are trigonometric identities? Select all that apply sin e tan 8 = cos e co...

A: Find your answer below 

Q: x2ex b. Evaluate lim by using T.E. X-0 CoSX-1

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Q: Convert the equation to polar form. 3x = 3y Зу 3r(cos 0 – sin 0)

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Q: Consider the points A(3, –3, 3), B(4, –5, 0), C(-3, –4, 0), and D(6, 2, –6). Find the volume of the ...

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Q: y" + 2y' + y = 7 + 75 sin 2x

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Q: Finding the Domain and Range of a Function: f (x) = Vx - 3x + 2 Domain: all x# ±2 Domain: all x# ±3 ...

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Q: x³eš" dx (Repeated Integration by Parts)

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A: Use simple integration formula for lateral surface area.

Q: et -5 0 1] A = [2 -10 0 2 escribe all solutions of A = 0. = x2 +x3 +x4

A: Here we have to solve the given problem.

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Q: kx +5, g(x) ={ 2 (3x+x², x<-2 If the function x2-2 is continious at x=-2, then find the value of k .

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Q: Find the exact area of the surface obtained by rotating the curve y =-x", 3 0<x<12, about the y-axis...

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

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Q: Give two Partial Variation example problems and their solutions.

A: It is required to give  two Partial Variation example problems and their solutions. It is known that...

Q: 8) Find the critical points then sketch the graph of the function below. Provide the first derivativ...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: To find the unit vectors that satisfy the stated conditions.a Same direction as -2i+5j.u=?b Opposite...

Q: dx cot 3x sin 3x -1/3 sec 3x + C

A: ∫dxcot(3x).sin(3x)=∫dxcos(3x)sin(3x).sin(3x)

Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: 2. a| = 3, b|| V6, the angle between a and b is 45° 3. |a| = 6, |b|= 5, the angle between a and b is...

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Q: models the amount of money in Zachary's savings account over the last 10 years. Is Zachary's account...

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Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: 4 CSC* x

A: ∫csc4xco2xdx

Q: Question 3 Evaluate the integral. 25 cot2x dr sin 2x Solutiont

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Q: In each equation in Column A, find dY. Match the Column B. Write the letter that corresponds to yo C...

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Q: Let f(x, y) = xr sin(xy). Find (a) xy cos(xy) (b) y cos(xy) (c) x² cos(xy) (d) -x sin(xy) (e) Some o...

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Q: e5x cos e5x dx sin²e5x

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Q: Find the exact arc length of y 3 1 over [1, 2]. S 4х - +

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Q: Find the amplitude, period, and horizontal shift of the function. y = −9 sin (2(x + ?/2

A: Given:    y=-9 sin2x+π2

Q: Evaluate: /sin(Vx)dx 2/x sin(/x)+2cos(/x)+ C B2sin(x)-2/xcos(x)+C 2/xsin(x)-2cos(x)+C D None of the ...

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Q: Gren thint sin (A+i6) = xtiy, 28 Prove that, 9父+ =1 snh'B 1) x essec?A -y' sec'A =1

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Q: Find the area of the shaded region. y 8 y= 5 x – x 6. (3, 6) 4 2 y= 2 x X -1 4 5 2.

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Q: Use the integral test to determine whether the following is convergent or divergent. Σ

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Q: Q8 Determine whether {(1+2)"} Converges or diverges. n=0

A: To find the convergence of 1+pnpnn=0∞ For that, note that: limx→∞1+axxa=e

Q: The inverse notation f used in a pure mathematics problem is not always used when finding inverses o...

A: Since the tax function is dependent on g.

Q: J E1 = (J – 2) i = 3

A: This question can be solved using the concept of series.

Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). (Enter your answe...

A: I am attaching image so that you understand each and every step.

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

A: Here we have to use the application of derivatives

Q: A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 125 feet of fenc...

A: Total fencing available is 125 feet.

Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

Q: a) f(x) = V2x – 1 b) h(x) %3D 5x* - Зх2 — 8х

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Q: 1 リ=ス,メ=0; Xe2, y=or abt. A the x- Axls

A: Given

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Q: Find the area of the region included between the parabolas 4(n + 1)(r +n+ 1), and v² = 4(p² + 1)(p² ...

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Q: Directions: Find the limit of the following. 1. lim(x² + 2x – 1) x→2 2. lim (x³ + 8) X--2

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Q: Find the radius of convergence, R, of the series. (-1)^x" + 6 n + 3 n= 1 R = Find the interval, I, o...

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Q: 1 [3x cos (4-x)-8r/4-x² dx

A: Given: I=∫3xcos4-x2-8x4-x2dx   So, we can also write as: I=∫3xcos4-x2-8x4-x2dx=∫3cos4-x2-84-x2xdx  ....